Small Amplitude Traveling Waves in the Full-Dispersion Whitham Equation
Small Amplitude Traveling Waves in the Full-Dispersion Whitham Equation
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DOI：
10.1007/s10884-018-9713-8
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发表时间：
2018-02
影响因子：
1.3
通讯作者：
A. Stefanov;J. D. Wright
中科院分区：
文献类型：
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作者：
A. Stefanov;J. D. Wright
在这篇文章中，我们提供了一种构造一般Whitham型方程的小振幅行波的另一种方法，在周期和全线背景下都是如此。更具体地说，傅立叶分析技术允许我们将问题重新表述为对众所周知的常微分方程组的小而规则的扰动的研究。此外，还建立了这些波的严格谱稳定性。
In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis techniques allow us to reformulate the problem to the study of waves that are small and regular perturbations of well-understood ODE’s. In addition, rigorous spectral stability of these waves is established.